The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmenfrom 315 four-year college and universities in the Unitéd States. 74.5% of those students repliedthat, yes, they believe that same-sex couples should have the right to legal marital status. Supposethat you randomly pick eleven freshmen from the survey. You are interested in the number thatbelieve that same-sex couples should have the right to legal marital status.X ~ 7Find the probability that exactly 4 of the 11 freshmen sampled believe that same-sex couples shouldhave the right to legal marital status.Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couplesshould have the right to legal marital status.Find the mean of the distribution.Find the standard deviation of the distribution.Ouection Heln O Rect to foruum

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Description: The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmenfrom 315 four-year college and universities in the Unitéd States. 74.5% of those students repliedthat, yes, they believe that same-sex couples should have t

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Higher Education Research Institute at UCLA collected data from 302,458 incoming freshmen
from 315 four-year college and universities in the Unitéd States. 74.5% of those students replied
that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose
that you randomly pick eleven freshmen from the survey. You are interested in the number that
believe that same-sex couples should have the right to legal marital status.
X ~ 7
Find the probability that exactly 4 of the 11 freshmen sampled believe that same-sex couples should
have the right to legal marital status.
Find the probability that at least 9 of the 11 freshmen sampled believe that same-sex couples
should have the right to legal marital status.
Find the mean of the distribution.
Find the standard deviation of the distribution.
Ouection Heln O Rect to foruum

Expert Solution

Step 1

As all incoming freshmen have only two options available whether to support same-sex marriage or oppose it. Hence, the opinion variable can be assumed to be following Binomial distribution.

Here, total independent trails(i.e participating freshmen) $n = 302458$

Probability of success (i.e supporting same sex marriage) $p = 74.5 % = 0.745$

As we have our parameters, i.e n and p, then,

$X ~ B (n, p) \Rightarrow X ~ B (302458, 0.745)$

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